Standards

1 Geometric Structure

10 8

G.2.B make conjectures about angles, lines, polygons,

circles, and three‐dimensional figures and

determine the validity of the conjectures,

choosing from a variety of approaches such as

coordinate, transformational, or axiomatic

G.3.C use logical reasoning to prove statements are true

and find counter examples to disprove statements

that are false

G.1.B recognize the historical development of geometric systems and

know mathematics is developed for a variety of purposes

G.1.C compare and contrast the structures and implications of Euclidean

and non‐Euclidean geometries

G.2.A use constructions to explore attributes of geometric figures and to

make conjectures about geometric relationships

G.3.A determine the validity of a conditional statement, its converse,

inverse, and contrapositive

G.3.B construct and justify statements about geometric figures and their

properties

G.3.D use inductive reasoning to formulate a conjecture

G.3.E use deductive reasoning to prove a statement

2

Geometric Patterns and

Representations

8 6

G.5.A use numeric and geometric patterns to develop

algebraic expressions representing geometric

properties

G.5.D identify and apply patterns from right triangles to

solve meaningful problems, including special right

triangles (45‐45‐90 and 30‐60‐90) and triangles

whose sides are Pythagorean triples

G.4.A select an appropriate representation (concrete, pictorial,

graphical, verbal, or symbolic) in order to solve problems

G.5.B use numeric and geometric patterns to make generalizations

about geometric properties, including properties of polygons,

ratios in similar figures and solids, and angle relationships in

polygons and circles

G.5.C use properties of transformations and their compositions to make

connections between mathematics and the real world, such as

tessellations

3

Dimensionality and the

Geometry of Location

10 8

G.7.B use slopes and equations of lines to investigate

geometric relationships, including parallel lines,

perpendicular lines, and special segments of

triangles and other polygons

G.7.C derive and use formulas involving length, slope,

and midpoint

G.6.A describe and draw the intersection of a given plane with various

three‐dimensional geometric figures

G.6.B use nets to represent and construct three‐dimensional geometric

figures

G.6.C use orthographic and isometric views of three‐dimensional

geometric figures to represent and construct three‐dimensional

geometric figures and solve problems

G.7.A use one‐ and two‐dimensional coordinate systems to represent

points, lines, rays, line segments, and figures

4

Congruence and the Geometry of Size

16 14

G.8.A find areas of regular polygons, circles, and

composite figures

G.8.C derive, extend, and use the Pythagorean Theorem

G.8.D find surface areas and volumes of prisms,

pyramids, spheres, cones, cylinders, and

composites of these figures in problem situations

G.10.B justify and apply triangle congruence relationships

G.8.B find areas of sectors and arc lengths of circles using proportional

reasoning

G.8.E use area models to connect geometry to probability and statistics

G.8.F use conversions between measurement systems to solve problems

in real‐world situations

G.9.A formulate and test conjectures about the properties of parallel

and perpendicular lines based on explorations and concrete

models

G.9.B formulate and test conjectures about the properties and attributes

of polygons and their component parts based on explorations and

concrete models

G.9.C formulate and test conjectures about the properties and attributes

of circles and the lines that intersect them based on explorations

and concrete models

G.9.D analyze the characteristics of polyhedra and other three‐

dimensional figures and their component parts based on

explorations and concrete models

G.10.A use congruence transformations to make conjectures and justify

properties of geometric figures including figures represented on a

coordinate plane

5

Similarity and the

Geometry of Shape

8 6

G.11.C develop, apply, and justify triangle similarity

relationships, such as right triangle ratios,

trigonometric ratios, and Pythagorean triples

using a variety of methods

G.11.D describe the effect on perimeter, area, and

volume when one or more dimensions of a figure

are changed and apply this idea in solving

problems

G.11.A use and extend similarity properties and transformations to

explore and justify conjectures about geometric figures

G.11.B use ratios to solve problems involving similar figures;

STAAR

52

(5 Grid)

31‐34 questions from Readiness Standards 18‐21 questions from Supporting Standards

STAAR

Modified

42

(1 Grid)

25‐27 questions from Readiness Standards 15‐17 questions from Supporting Standards